Determine the change in the elevation of the mercury in the left leg of the manometer of Fig. P2.64 as a result of an in crease in pressure of 5 psi in pipe A while the pressure in pipe Bremains constant.

ENGR 3341 Probability Theory and Statistics Prof. Gelb Week 5 homework solutions Warm-up problems from textbook: Section 3.3 Problem 9: In this problem, we would like to show that the geometric random variable is memoryless. Let X ▯ Geometric(p). Show that P(X > m+ljX > m) = P(X > l); for m;l 2 f1;2;3;:::g We can interpret this in the following way: remember that a geometric random variable can be obtained by tossing a coin repeatedly until observing the ﬁrst heads. If we toss the coin several times and do not observe a heads, from now on it is like we start all over again. In other words, the failed coin tosses do not impact the distribution of waiting time from now on. The reason for this i